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Let f : R rarr R be the Signum Function...

Let `f : R rarr R ` be the Signum Function defined as `f(x) = {(1,xgt0),(0,x = 0),(-1,xlt0):}` and ` g : R rarr R ` be the Greatest Integer Function given by g(x) = [x] , where [x] is greatest integer less than or equal to x. Then , does `fog` and `gof` coincide in (0,1] ?

A

Yes

B

No

C

Nothing can be said

D

Composite function does not exists

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The correct Answer is:
B
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -MISCELLANEOUS EXERCISE - 1
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